Question

What is the analogue to this cardinal arithmetic theorem for infinite products?

score 438 · Answer 1 · 2019-05-05 08:39:26

438

Views

What is the analogue to this cardinal arithmetic theorem for infinite products?

Published on 05 May 2019 - 8:39

score 66 · Answer 2 · 2019-05-06 10:28:48

66

Views

Are there uncountable cardinals $\kappa$ such that $|\kappa\cap\mathsf{Card}| = \kappa$?

Published on 06 May 2019 - 10:28

score 45 · Answer 3 · 2019-05-06 13:08:57

45

Views

Why is cofinite topology on a countable set a second countable space?

Published on 06 May 2019 - 13:08

score 533 · Answer 4 · 2019-05-06 22:33:36

533

Views

Show that continuous function from omega_1 to R is eventually constant

Published on 06 May 2019 - 22:33

score 50 · Answer 5 · 2019-05-09 12:00:12

50

Views

Does a (complete) $\mathfrak{a}$-partite graph always have a maximum in AND out degree?

Published on 09 May 2019 - 12:00

score 109 · Answer 6 · 2026-03-26 02:56:00

109

Views

Cardinal of all well-orders of $\mathbb{N}$

Published on 26 Mar 2026 - 2:56

score 78 · Answer 7 · 2026-03-27 01:53:23

78

Views

Which stage in the Neumann hierarchy do powers of the reals fit in?

Published on 27 Mar 2026 - 1:53

score 91 · Answer 8 · 2019-05-12 15:30:44

91

Views

find cardinality of A

Published on 12 May 2019 - 15:30

score 188 · Answer 9 · 2019-05-14 21:24:07

188

Views

$\aleph_0\times 2^{\aleph_0} = 2^{\aleph_0}$ requires the Axiom of Choice?

Published on 14 May 2019 - 21:24

score 187 · Answer 10 · 2019-05-15 00:35:16

187

Views

Cardinality of all infinite subsets with an infinite complement.

Published on 15 May 2019 - 0:35

score 51 · Answer 11 · 2019-05-15 08:05:10

51

Views

Countability of a subset of sequences

Published on 15 May 2019 - 8:05

score 291 · Answer 12 · 2019-05-15 20:48:04

291

Views

Cardinality of the set of all total orders on $\Bbb{N}$

Published on 15 May 2019 - 20:48

score 44 · Answer 13 · 2019-05-23 17:15:25

44

Views

Prove or disprove: $\lvert\mathcal{R}\rvert=\lvert\mathcal{R}^{-1}\rvert$

Published on 23 May 2019 - 17:15

score 153 · Answer 14 · 2026-03-26 02:56:16

153

Views

Hamel dimension of a vector space, and dimension of the dual

Published on 26 Mar 2026 - 2:56

score 171 · Answer 15 · 2019-05-26 22:59:45

171

Views

Showing that $cf(\aleph_\alpha) \leq cf(\alpha)$

Published on 26 May 2019 - 22:59

List Question

What is the analogue to this cardinal arithmetic theorem for infinite products?

Are there uncountable cardinals $\kappa$ such that $|\kappa\cap\mathsf{Card}| = \kappa$?

Why is cofinite topology on a countable set a second countable space?

Show that continuous function from omega_1 to R is eventually constant

Does a (complete) $\mathfrak{a}$-partite graph always have a maximum in AND out degree?

Cardinal of all well-orders of $\mathbb{N}$

Which stage in the Neumann hierarchy do powers of the reals fit in?

find cardinality of A

$\aleph_0\times 2^{\aleph_0} = 2^{\aleph_0}$ requires the Axiom of Choice?

Cardinality of all infinite subsets with an infinite complement.

Countability of a subset of sequences

Cardinality of the set of all total orders on $\Bbb{N}$

Prove or disprove: $\lvert\mathcal{R}\rvert=\lvert\mathcal{R}^{-1}\rvert$

Hamel dimension of a vector space, and dimension of the dual

Showing that $cf(\aleph_\alpha) \leq cf(\alpha)$

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